solve the system by substitution.....

Answer:

49°

Step-by-step explanation:

since its a right angle that just subtract from 90

90-41= 49

Answer:

49

Step-by-step explanation:

Because of the square at O, we know that angle XOZ is a right angle and is 90°.

Since angle XOZ is made up of angle XOY and angle YOZ, we can subtract the measure of angle XOZ by the measure of angle XOY to find the measure of angle YOZ, which is equal to x.

x = 90 - 41

x = 49

Answer:

3, 5, and 6

Step-by-step explanation:

Answer:

Point of intersections are (0, -7) and (5, -2).

Step-by-step explanation:

From the graph attached,

A straight line is intersecting the circle at the two points (0, 7) and (5, -2).

Now solve algebraically,

Equation of the line → y = x - 7 -------(1)

Equation of the circle → (x - 5)² + (y + 7)² = 25 -------(2)

By substituting the value of y from equation (1) to equation (2)

(x - 5)² + (x - 7 + 7)² = 25

(x - 5)² + x² = 25

x² - 10x + 25 + x² = 25

2x² - 10x = 0

x² - 5x = 0

x(x - 5) = 0

x = 0, 5

From equation (1),

y = 0 - 7 = -7

y = 5 - 7 = -2

Therefore, point of intersections are (0, -7) and (5, -2).

75m+500

You have the 500 as the initial amount and the 75m is how much juan adds each month

Answer: 2,16

Step-by-step explanation:

Answer:

hmmm I guess it has to be e. if I 'm wrong

Answer:

5

6

Step-by-step explanation:

To solve, collect like terms

x ≥ 2 + 21/2

x ≥ 4 1/2

the whole number that would be greater than 41/2 would be 5

2.  2.7 + 3.3  > x

6 > x

Answer:

I like doods

Step-by-step explanation:

Pp + pp

Answer:

99.9973 %

Step-by-step explanation:

This is a binomial probability distribution.

Since the probability of satisfactory welds = 97% = 0.97 and the probability of defective welds = 3% = 0.03.

Since there are 3 welds and we require at least one being defective, our binomial probability is

P(x ≥ 1) = 1 - P(x ≤ 0) = 1 - P(0) = 1 - ³C₀(0.03)³(0.97)⁰ = 1 - 1 × ‭0.000027‬ × 1 = 1 - 0.000027 = 0.99997‬3 × 100% = 99.9973%

Answer: m = 7

Step-by-step explanation: This equation is written in slope-intercept form which is the same thing as y = mx + b form where m represents the slope of the line and b represents the y-intercept.

Now looking at this equation, we can see that m or the slope of the line is 7.

Answer:

B

Step-by-step explanation:

let's list everything out.

$35 for school supplies

$17.5 has already been used

$17.5 is left

pens only come in packs of 12

one pack of pens is $5

ok, so we know its definitely not C or D because they are less than 12

42 is not divisible by 12

since packs only come in 12's then it must be B.

good luck my friend!

Answer:

$525.13

Step-by-step explanation:

cost per month = total expenses /  months in a year

total expenses = fixed cost + variable cost

$2,125.10 + $4,176.43 = $6,301.53

cost per month = $6,301.53/ 12 = $525.13

Answer:

Confidence Interval =  ( 5.6 < μ < 8.2 )

The interval shows that the mean attractiveness is Above average on a scale of 1 to 10

Step-by-step explanation:

Data Given  : 5, 8, 2, 8, 7, 6, 6, 8, 9, 9, 6, 9

a) construct a confidence interval at a 95% confidence level

confidence interval = x ± tcritical ( s / √ n ) ------ ( 1 )

n = 12

μ (mean) = ( 5+8+2+8+7+6+6+8+9+9+6+9 ) / 12  ≈ 6.92

std ( s ) = √ 1/11 *∑( xi- X )^2

= √ 1/11 *  ( 5 - 6.92)^2 + ( 8 - 6.92)^2 + ( 2 - 6.92)^2 + ( 8 - 6.92)^2 + ( 7-6.92)^2 + ( 6 - 6.92)^2 + (6 - 6.92 )^2 + ( 8 - 6.92 )^2 + ( 9 - 6.92)^2 + ( 9 - 6.92)^2 + ( 6 - 6.92 )^2 + ( 9 - 6.92 )^2

= √ 1/11 * 46.92 =  2.07

tcritical at ∝ 0.05 , df = 11  = 2.20

Back to equation 1

6.92 ± 2.2 ( 2.07 / √ 12 )

( 6.92 ± 1.31 )

Confidence Interval =  ( 5.6 < μ < 8.2 )    

Answer:

Answer: 10 inches

Explanation: You are given one side of the aquarium which is 18 inches. The top and the bottom of the aquarium is 18 inches because that’s what the diagram gives us. So you can multiply 18 x 2=36. Now, to find the missing side length, subtract the perimeter (56 inches) by 36 and you get 20 inches. However, that’s not your final answer because you have to divide 20/2=10 inches. 10 inches is the missing side length for the left and right side lengths

The missing length of the lid of her aquarium in the pricure is 18 inches.

The shape of the lid of her aquarium is a rectangle. A rectangle is a quadrilateral with four sides.

The perimeter of the rectangle = 2(length + width)

56 = 2(18 + l)

56/2 = 18 + l

28 = 18 + l

l = 28 - 18 = 10 inches

Find attached the required image. To learn more about the perimeter of a rectangle, please check: https://brainly.com/question/3205029

Answer:

3×91+×=27

273+×=27

×=27-273

×= -246

Answer: x=−246

→ Hope this help!←

Answer:

y= 5/2x

Step-by-step explanation:

okay so the diffrence between 10, 12, 14 is 2 and diffrence between 25, 30 and 35 is 5

now... y=mx+b

slope or m= 5/2. y=5/2x

Answer:

Step-by-step explanation:

sin 60=CB/18

[tex]\frac{\sqrt{3} }{2} =\frac{CB}{18} \\CB=9\sqrt{3}[/tex]

fill the table

2x -y 2

6x 12^2 -6xy 12x

-y -2xy y^2 -2y

Answer:

1.Jose's

2.

Francis's

Step-by-step explanation:

Answer:

Step-by-step explanation:  

Answer:

[tex]12x + 24 = 2(6x + 12)[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]

Step-by-step explanation:

Given

[tex]12x + 24[/tex]

Required

Equivalent expressions

No option were given; So, I will list out some possible equivalent expressions.

Using distributive property:

[tex]AB + AC = A*(B + C)[/tex]

So, we have:

[tex]12x + 24 = 2*6x + 2 * 12[/tex]

[tex]12x + 24 = 2(6x + 12)[/tex] ----- (1)

Another:

[tex]12x + 24 = 3*4x + 3 * 8[/tex]

[tex]12x + 24 = 3(4x + 8)[/tex]

Another:

[tex]12x + 24 = 4*3x + 4*6[/tex]

[tex]12x + 24 = 4(3x + 6)[/tex]

Another:

[tex]12x + 24 = 6*2x + 6*4[/tex]

[tex]12x + 24 = 6(2x + 4)[/tex]

Another:

[tex]12x + 24 = 12*x + 12*2[/tex]

[tex]12x + 24 = 12(x + 2)[/tex]

Answer: 2 patches of fabric needed

Step-by-step explanation:

Given

Quilt: 6 ft × 8 ft

Fabric: 4 ft × 4 ft

Solve

Area of quilt=4×8=32 ft²

Area of fabric=4×4=16 ft²

To find the number of fabric needed, we need to divide the area of fabric from the total area of the quilt.

32/16=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

=3(2(5)+1

=3×10+1

=30+1

=31

Answer:

(a) 33

(b) 27

(c) 1/2

Step-by-step explanation:

(a)

g(x) = 3(2x + 1)

g(5) = 3(2 * 5 + 1)

g(5) = 3(10 + 1)

g(5) = 3(11)

g(5) = 33

(b)

[tex] f(x) = \dfrac{12}{\sqrt{x}} [/tex]

[tex] f(9) = \dfrac{12}{\sqrt{9}} [/tex]

[tex] f(9) = \dfrac{12}{3} [/tex]

[tex] f(9) = 4 [/tex]

g(f(9)) = g(4) = 3(2(4) + 1)

g(f(9)) = 3(9)

g(f(9)) = 27

(c)

[tex] g(x) = 3(2x + 1) [/tex]

[tex] y = 3(2x + 1) [/tex]

[tex] x = 3(2y + 1) [/tex]

[tex] 2y + 1 = \dfrac{x}{3} [/tex]

[tex] 2y = \dfrac{x}{3} - 1 [/tex]

[tex] y = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(x) = \dfrac{x}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{6}{6} - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = 1 - \dfrac{1}{2} [/tex]

[tex] g^{-1}(6) = \dfrac{1}{2} [/tex]

Answer:

walmart:1645.66 target:2096.07

Step-by-step explanation:

walmart:1538/100 × 107= 1645.66

target:1923/100 × 109= 2096.07

i think this is the ans but im not very sure

Answer: 25%

Step-by-step explanation:

STEP ONE: Find the total possible ways to roll the dice.

- Each roll has 6 possible numbers

- Each roll is independent

6×6=36 possible combination

STEP TWO: Find the possible ways to roll the dice in odd-odd

- Each roll has 3 odd number (1, 3, 5)

- Each roll is independent

3×3=9 possible combination

STEP THREE: Put it into a fraction

Possibility of odd-odd=(possible odd-odd combination)/(total combination)×100%= 9/36 × 100%=0.25 × 100%= 25%

Hope this helps!! :)

Please let me know if you have any questions